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404345221 = 71723241613
BaseRepresentation
bin11000000110011…
…101000110000101
31001011211212100221
4120012131012011
51312003021341
6104042304341
713006610020
oct3006350605
91034755327
10404345221
11198273605
12b34b80b1
1365a03337
143b9b61b7
1525770ed1
hex1819d185

404345221 has 32 divisors (see below), whose sum is σ = 513520128. Its totient is φ = 310210560.

The previous prime is 404345203. The next prime is 404345257. The reversal of 404345221 is 122543404.

404345221 = T118 + T119 + ... + T1343.

It is a happy number.

It is not a de Polignac number, because 404345221 - 225 = 370790789 is a prime.

It is a Duffinian number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (404340221) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 659311 + ... + 659923.

It is an arithmetic number, because the mean of its divisors is an integer number (16047504).

Almost surely, 2404345221 is an apocalyptic number.

It is an amenable number.

404345221 is a deficient number, since it is larger than the sum of its proper divisors (109174907).

404345221 is a wasteful number, since it uses less digits than its factorization.

404345221 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 901.

The product of its (nonzero) digits is 3840, while the sum is 25.

The square root of 404345221 is about 20108.3371018093. The cubic root of 404345221 is about 739.4646852849.

Adding to 404345221 its reverse (122543404), we get a palindrome (526888625).

The spelling of 404345221 in words is "four hundred four million, three hundred forty-five thousand, two hundred twenty-one".

Divisors: 1 7 17 23 119 161 241 391 613 1687 2737 4097 4291 5543 10421 14099 28679 38801 72947 94231 98693 147733 239683 659617 1034131 1677781 2511461 3397859 17580227 23785013 57763603 404345221